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Question : 10
Total: 29
Write the intercept cut off by the plane 2x + y – z = 5 on x-axis.
Solution:
2x + y – z = 5
Dividing both sides by 5,
+
−
= 1
⇒
+
+
= 1
It is known that the equation of a plane in intercept form is
+
+
= 1, where a, b and c are the intercepts cut off by the plane at x, y, and z-axes respectively. Thus, the intercept cut off by the given plane on the x-axis is
Dividing both sides by 5,
⇒
It is known that the equation of a plane in intercept form is
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